Answer
$x=\dfrac{5}{2}$
Work Step by Step
$\log_{5}x+\log_{5}10=2$
Combine the sum on the left side of the equation as the $\log$ of a product:
$\log_{5}10x=2$
Rewrite in exponential form:
$10x=5^{2}$
$10x=25$
Solve for $x$:
$x=\dfrac{25}{10}=\dfrac{5}{2}$
